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Investigating the links between the T-number and the T-total on a size 9 grid Richard Smith 5? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 I will be using the number at the bottom of the T as the T-number, so in these two examples the T-numbers are 20 and 51. This will be the layout of each T: - T2 T3 T4 T1 T-number Take the differences between the T-number and T1, 2, 3 and 4. n-19 n-18 n-17 n-9 n 1 2 3 11 20 These differences are the same throughout the grid (size 9). Examples n-19 n-18 n-17 n-9 n 32 33 34 42 51 n-19 n-18 n-17 n-9 n 16 17 18 26 35 If you take all the differences, which add up to be -63 and take that from 5 (the amount of numbers in one T) multiplied by the T-number, it gives you the T-total. Here is the formula: - 5n-63=T-total I will now test this formula using some of the T shapes above. 16 17 18 26 35 1 2 3 11 20 32 33 34 42 51 5n-63 = T-total 5(20)-63 = T-total 37 = T-total Also: 1 + 2 + 3 + 11 +20 = 37 5n-63 = T-total 5(51)-63 = T-total 192 = T-total Also: 32 + 33 + 34 + 42 + 51 = 192 5n-63...

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